ON CONVERGENCE OF THE PROJECTIVE INTEGRATION METHOD FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS

被引：0
|
作者：
MacLean, John [1 ]
Gottwald, Georg A. [1 ]
机构：
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2014年 / 12卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
Multi-scale integrators; projective integration; heterogeneous multiscale methods;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a convergence proof of the projective integration method for a class of deterministic multi-dimensional multi-scale systems which are amenable to center manifold theory. The error is shown to contain contributions associated with the numerical accuracy of the microsolver, the numerical accuracy of the macrosolver and the distance from the center manifold caused by the combined effect of micro-and macrosolvers, respectively. We corroborate our results by numerical simulations.
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页码：235 / 255
页数：21
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